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lions [1.4K]
2 years ago
14

Please help me ASAP Thank you

Mathematics
1 answer:
goldfiish [28.3K]2 years ago
3 0

Step-by-step explanation:

  1. the number being divided
  2. the number of parts that the dividend is being divided into
  3. opposite equations that undo one another
  4. the result of dividing two numbers
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Michael has a sink that is shaped like a half-sphere. The sink has a volume of 3000 3 in3. One day, his sink is clogged. He has
jarptica [38.1K]

Answer:

Part a) 42\ cups

Part b) 15\ cups

Step-by-step explanation:we know that

The volume of the sink (half sphere) is equal to

V=3,000\pi \ in^{3}

Part a) One cup has a diameter of 6 in. and a height of 8 in. How many cups of water must Michael scoop out of the sink with this cup to empty it?

The volume of the cylinder is equal to

V=\pi r^{2}h

we have

r=6/2=3\ in ----> the radius is half the diameter

h=8\ in

substitute the values

V=\pi (3)^{2}(8)=72\pi\ in^{3}

To find the number of cups divide the total volume of the sink by the volume of the cylinder

\frac{3,000\pi}{72\pi} =41.67\ cups

Round to the nearest whole number

41.67=42\ cups

Part b) One cup has a diameter of 10 in. and a height of 8 in. How many cups of water must Michael scoop out of the sink with this cup to empty it?

The volume of the cylinder is equal to

V=\pi r^{2}h

we have

r=10/2=5\ in ----> the radius is half the diameter

h=8\ in

substitute the values

V=\pi (5)^{2}(8)=200\pi\ in^{3}

To find the number of cups divide the total volume of the sink by the volume of the cylinder

\frac{3,000\pi}{200\pi} =15\ cups

4 0
3 years ago
What is the product of the expression (-2.2)(1.5)(-4.2)
Nataliya [291]

Answer:

13.86

Step-by-step explanation:

(-2.2)(1.5)(-4.2) =

Use a calculator. Start with -2.2 * 1.5.

= (-3.3)(-4.2)

= 13.86

8 0
3 years ago
Read 2 more answers
a circle has an area of 81 3.14 units . what is the diameter in terms of 3.14a circle has an area of 81 Pi square units what is
Sunny_sXe [5.5K]
You have posted 2 separate questions here.  Please, next time, separate them with a blank line:

<span>A circle has an area of 81 3.14 units . what is the diameter in terms of 3.14?

I'd prefer you write this as 
"</span><span>A circle has an area of 81 pi units . what is the diameter in terms of pi?

Area of a circle = A = pi*r^2.  Note that r= diameter / 2.  Here, the area is 81 pi square units, or 9^2 * pi square units, which means that the radius is 9 units.  The diameter is then 2(9 units) = 18 units.


Your second question, separated from the first, is:

"</span><span>a circle has an area of 81 Pi square units what is the diameter of the circle?"
</span><span>
Use the following formula or formulas:  d = 2*r; A = pi*r^2; A = pi*(d/2)^2.  Find r first, and then find d.

</span>
4 0
3 years ago
Read 2 more answers
In a department store, a $40 dress marked, "save 25%." what is the discount? what is the sales price of the dress?
Bogdan [553]

Answer:

Discount = $10

Sales Price = $30

Step-by-step explanation:

Discount

= 25% of marked price

= 25% x $40

= (25/100) x 40

= $10  

Sales price = Marked price - Discount = $40 - $10 = $30

8 0
2 years ago
Unit rate of 72 ounces for 12 servings
Anarel [89]
Ok this is really easy if you thinl about it
so every ounce is how many servings?
well all you do is divide 72 by 12
happy solving :)
4 0
3 years ago
Read 2 more answers
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